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# 5 minus z over z equals 9 ? How do you solve?

Can you tell me how to solve 5 minus z over z equals 9?

### 2 Answers by Expert Tutors

John R. | John R: Math, Science, and History TeacherJohn R: Math, Science, and History Teach...
4.6 4.6 (55 lesson ratings) (55)
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If I understand your question correctly, I believe you are solving (5 - z)/z = 9.  If you are, then here are the steps below:

(5 - z)/z = 9                 Given

(5 - z)/z * z = 9 * z     Multiply both sides by z

5 - z = 9z                    Simplify

5 - z + z = 9z + z         Add z to both sides

5 = 10z                        Simplify

5/10 = 10z/10              Divide both sides by 10

1/2 = z                         Simplify

z = 1/2  or  0.5              Symmetric property

Thank you

Thank you. I truly appreciate your help.
thank you, it was a great relief after battling for this equation for some days.
Logan L. | Technology - Network, Security, Linux, and moreTechnology - Network, Security, Linux, a...
4.6 4.6 (33 lesson ratings) (33)
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(5-z)/z = 9

Multiply both sides by "z".

(5-z)/z*z = 9z
5-z = 9z

Put the variable on one side.

10z = 5
z = .5
Do I need to break it down further?